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Finding the Fourth Proportional to 11,399.96, 15,719.55 and 7,413.68

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Solution

The fourth proportional to 11,399.96, 15,719.55 and 7,413.68 is: 10,222.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,399.96 : 15,719.55 = 7,413.68 : x
  2. Step 2: Convert to fraction form
    11,399.96/15,719.55 = 7,413.68/x
  3. Step 3: Cross multiply
    11,399.96x = 15,719.55 × 7,413.68
  4. Step 4: Simplify right side
    11,399.96x = 116,539,713.44
  5. Step 5: Solve for x
    x = 116,539,713.44/11,399.96
  6. Step 6: Final answer
    x = 10,222.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.